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Number of 6Xn arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 6Xn array
0

%I #3 Dec 03 2012 09:52:39

%S 84,1107,19083,595862,13639469,310371126

%N Number of 6Xn arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 6Xn array

%C Row 6 of A220044

%e Some solutions for n=3

%e ..0..0..0....1..0..0....1..0..1....1..1..1....1..0..0....2..0..0....0..0..0

%e ..0..0..0....1..0..0....1..0..0....1..1..1....1..0..1....2..0..1....0..0..0

%e ..0..2..0....2..0..0....1..0..1....1..1..1....2..0..0....2..0..0....0..0..0

%e ..2..2..2....1..0..0....1..0..0....1..2..1....2..0..2....2..0..0....3..1..1

%e ..0..1..0....1..0..1....1..0..1....2..2..2....3..1..1....2..0..2....3..1..2

%e ..0..0..0....1..3..1....3..2..3....3..2..3....3..1..3....3..2..3....3..2..2

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 03 2012